Quark-Lepton Mass Relation and CKM mixing in an A4 Extension of the Minimal Supersymmetric Standard Model

TL;DR

This paper extends an A4 flavor symmetry model within the MSSM to accurately describe quark mixing and mass relations, predicts an inverted neutrino hierarchy, and analyzes implications for meson oscillations and rare decays.

Contribution

It introduces a minimal extension with vector-like up-quarks to explain CKM mixing and quark mass relations within an A4-based supersymmetric model.

Findings

Reproduces CKM matrix elements Vub, Vcb, Vtd, Vts from deviations of unitarity.

Predicts an inverted hierarchy for neutrino masses.

Suggests observable neutrinoless double beta decay rate.

Abstract

An interesting mass relation between down type quarks and charged leptons has been recently predicted within a supersymmetric SU(3)_c \times SU(2)_L \times U(1)_Y model based on the A4 flavor symmetry. Here we propose a simple extension which provides an adequate full description of the quark sector. By adding a pair of vector-like up-quarks we show how the CKM entries Vub, Vcb, Vtd and Vts arise from deviations of the unitarity. We perform an analysis including the most relevant observables in the quark sector, such as oscillations and rare decays of Kaons, Bd and Bs mesons. In the lepton sector, model predicts an inverted hierarchy for the neutrino masses leading to a potentially observable rate of neutrinoless double beta decay.